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LCM of 426, 215, 922, 442

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 426, 215, 922, 442 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 426, 215, 922, 442. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 426,215,922,442

Given numbers are 426,215,922,442

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 426,215,922,442 is 9331280790.

Find LCM of 426,215,922,442 with Prime Factorization


2 426, 215, 922, 442
213, 215, 461, 221

Multiply the prime numbers at the bottom and the left side.

2 x 213 x 215 x 461 x 221 = 9331280790

Therefore, the lowest common multiple of 426,215,922,442 is 9331280790.

LCM Formula to Find Lowest Common Multiple of 426,215,922,442

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

426 x 215 x 922 x 442 = 37325123160

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

426 : 1, 2, 3, 6, 71, 142, 213, 426

215 : 1, 5, 43, 215

922 : 1, 2, 461, 922

442 : 1, 2, 13, 17, 26, 34, 221, 442

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,215,922,442, is 1.

Now, the common factors can be found like this.

426:2x 3x 71

215:5x 43

922:2x 461

442:2x 13x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 37325123160/(1x4)

LCM = 37325123160/4

LCM = 9331280790

Thus, we can understand that the LCM of 426,215,922,442 is 9331280790.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 426, 215, 922, 442

1. What is the LCM of 426, 215, 922, 442?

Answer: LCM of 426, 215, 922, 442 is 9331280790.

2. How to calculate the LCM of 426, 215, 922, 442?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 426, 215, 922, 442.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.